Posted by **Jarin** on Thursday, August 9, 2007 at 7:23am.

a company makes x toys daily at a cost of C(x)=125+30x+2(x to the power of 2/3) dollars. what daily production level will minimize the average cost? (note define average cost as the Total cost divided by the total number of items)

thx

According to your definition

Average Cost = C(x)/x

=125/x + 30 + 2x^(-1/3)

d(Average Cost)/dx = -125/x^2 - (2/3)x^(-4/3)

set this to zero and solve

(I got x=32.75, but x should be a whole number, so x = 33)

## Answer this Question

## Related Questions

- Calculus - The perfect Pizza Parlour estimates the average daily cost per pizza...
- Calculus - The perfect pizza parlor estimates the average daily cost per pizza ...
- economics - Teddy Bear, Inc., a rapidly growing manufacturer of high fashion ...
- math - The daily total cost (in dollars) incurred by Trappee and Sons for ...
- math - The daily total cost (in dollars) incurred by Trappee and Sons for ...
- Math - The daily total cost (in dollars) incurred by Trappee and Sons for ...
- A. Production - A toy manufacturing makes its own wind-up motors, which are then...
- Math - A company manufactirung snowboards has fixed costs of $200 per day and ...
- Microeconomics - In the shortrun function of a company with a constant variable ...
- Math - a manufacturer has daily production costs of C=4000-30x+0.5x where C is ...

More Related Questions